Given an integer N, the task is to find the sum of interior angles of an N-sided polygon. A plane figure having a minimum of three sides and angles is called a polygon.
Examples:
Input: N = 3
Output: 180
3-sided polygon is a triangle and the sum
of the interior angles of a triangle is 180.
Input: N = 6
Output: 720
Approach: The sum of internal angles of a polygon with N sides is given by (N - 2) * 180
Below is the implementation of the above approach:
// C++ implementation of the approach
#include <bits/stdc++.h>
using namespace std;
// Function to return the sum of internal
// angles of an n-sided polygon
int sumOfInternalAngles(int n)
{
if (n < 3)
return 0;
return (n - 2) * 180;
}
// Driver code
int main()
{
int n = 5;
cout << sumOfInternalAngles(n);
return 0;
}
// Java implementation of the approach
class GFG {
// Function to return the sum of internal
// angles of an n-sided polygon
static int sumOfInternalAngles(int n)
{
if (n < 3)
return 0;
return ((n - 2) * 180);
}
// Driver code
public static void main(String args[])
{
int n = 5;
System.out.print(sumOfInternalAngles(n));
}
}
// C# implementation of the approach
using System;
class GFG {
// Function to return the sum of internal
// angles of an n-sided polygon
static int sumOfInternalAngles(int n)
{
if (n < 3)
return 0;
return ((n - 2) * 180);
}
// Driver code
public static void Main()
{
int n = 5;
Console.Write(sumOfInternalAngles(n));
}
}
# Python3 implementation of the approach
# Function to return the sum of internal
# angles of an n-sided polygon
def sumOfInternalAngles(n):
if(n < 3):
return 0
return ((n - 2) * 180)
# Driver code
n = 5
print(sumOfInternalAngles(n))
<?php
// PHP implementation of the approach
// Function to return the sum of internal
// angles of an n-sided polygon
function sumOfInternalAngles($n)
{
if($n < 3)
return 0;
return (($n - 2) * 180);
}
// Driver code
$n = 5;
echo(sumOfInternalAngles($n));
?>
<script>
// JavaScript implementation of the approach
// Function to return the sum of internal
// angles of an n-sided polygon
function sumOfInternalAngles(n)
{
if (n < 3)
return 0;
return (n - 2) * 180;
}
// Driver code
let n = 5;
document.write(sumOfInternalAngles(n));
// This code is contributed by Mayank Tyagi
</script>
Output:
540
Time Complexity: O(1)
Auxiliary Space: O(1)